3y+(2y+5)+(88-2x)+(x+17)=180

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Solution for 3y+(2y+5)+(88-2x)+(x+17)=180 equation:


Simplifying
3y + (2y + 5) + (88 + -2x) + (x + 17) = 180

Reorder the terms:
3y + (5 + 2y) + (88 + -2x) + (x + 17) = 180

Remove parenthesis around (5 + 2y)
3y + 5 + 2y + (88 + -2x) + (x + 17) = 180

Remove parenthesis around (88 + -2x)
3y + 5 + 2y + 88 + -2x + (x + 17) = 180

Reorder the terms:
3y + 5 + 2y + 88 + -2x + (17 + x) = 180

Remove parenthesis around (17 + x)
3y + 5 + 2y + 88 + -2x + 17 + x = 180

Reorder the terms:
5 + 88 + 17 + -2x + x + 3y + 2y = 180

Combine like terms: 5 + 88 = 93
93 + 17 + -2x + x + 3y + 2y = 180

Combine like terms: 93 + 17 = 110
110 + -2x + x + 3y + 2y = 180

Combine like terms: -2x + x = -1x
110 + -1x + 3y + 2y = 180

Combine like terms: 3y + 2y = 5y
110 + -1x + 5y = 180

Solving
110 + -1x + 5y = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-110' to each side of the equation.
110 + -1x + -110 + 5y = 180 + -110

Reorder the terms:
110 + -110 + -1x + 5y = 180 + -110

Combine like terms: 110 + -110 = 0
0 + -1x + 5y = 180 + -110
-1x + 5y = 180 + -110

Combine like terms: 180 + -110 = 70
-1x + 5y = 70

Add '-5y' to each side of the equation.
-1x + 5y + -5y = 70 + -5y

Combine like terms: 5y + -5y = 0
-1x + 0 = 70 + -5y
-1x = 70 + -5y

Divide each side by '-1'.
x = -70 + 5y

Simplifying
x = -70 + 5y

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